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 Pre-Calculus and Calculus
 Plz help, slope of tgnt line to curve graphically
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boousaf
Junior Member

USA
6 Posts

Posted - 09/26/2007 :  00:25:50  Show Profile
I just plain dont understand the wording here, please shed some light if you can. Consider function to be g(x);



a) Find the values by observing the slope of tangent line to curve graphically:
a) g ' (-1) b) g ' (0) c) g ' (0.5) d) g ' (1)

b) use the four points found in a to sketch graph of g ' (x)
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boousaf
Junior Member

USA
6 Posts

Posted - 09/26/2007 :  00:27:59  Show Profile
Sorry wrong link

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tkhunny
Advanced Member

USA
1001 Posts

Posted - 09/26/2007 :  08:46:14  Show Profile
You just look at it. Sketch the tangent line at each x-value and estimate the slope.
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boousaf
Junior Member

USA
6 Posts

Posted - 09/26/2007 :  16:32:27  Show Profile
thx guys, I appreciate the responses very much!~
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HallsofIvy
Advanced Member

USA
78 Posts

Posted - 10/02/2007 :  07:25:18  Show Profile
Back when I was in school, I learned to draw the tangent to a curve this way: Hold a small pocket mirror at the point on the curve where you want to draw the tangent. Rotate the mirror until the curve appears to go smoothly into its reflection- no sharp corner. Hold the mirror there and use the edge of the mirror to draw the line PERPENDICULAR to the curve. Now do the same thing with that line: rotate the mirror until the line appears to go smoothly into its image and use the mirror as a straight edge to draw the TANGENT line.
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someguy
Advanced Member

Canada
143 Posts

Posted - 10/02/2007 :  16:53:45  Show Profile
That's an interesting method. I have never heard of it but I like it.
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